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Elements of the group are displayed as permutations of degree 6.

Group Label Order Size Centralizer Powers Representative
2P
$C_2\times D_4$ 1A $1$ $1$ $C_2\times D_4$ 1A $()$
$C_2\times D_4$ 2A $2$ $1$ $C_2\times D_4$ 1A $(5,6)$
$C_2\times D_4$ 2B $2$ $1$ $C_2\times D_4$ 1A $(1,3)(2,4)(5,6)$
$C_2\times D_4$ 2C $2$ $1$ $C_2\times D_4$ 1A $(1,3)(2,4)$
$C_2\times D_4$ 2D $2$ $2$ $C_2^3$ 1A $(2,4)$
$C_2\times D_4$ 2E $2$ $2$ $C_2^3$ 1A $(2,4)(5,6)$
$C_2\times D_4$ 2F $2$ $2$ $C_2^3$ 1A $(1,2)(3,4)$
$C_2\times D_4$ 2G $2$ $2$ $C_2^3$ 1A $(1,2)(3,4)(5,6)$
$C_2\times D_4$ 4A $4$ $2$ $C_2\times C_4$ 2C $(1,2,3,4)$
$C_2\times D_4$ 4B $4$ $2$ $C_2\times C_4$ 2C $(1,2,3,4)(5,6)$
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